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12866745540 = 22351121799901
BaseRepresentation
bin10111111101110101…
…01111010011000100
31020012201001101201010
423332322233103010
5202322341324130
65524431002220
7633564350445
oct137672572304
936181041633
1012866745540
115502a40400
1225b1069370
1312a08b6acc
148a0b9d2cc
155048ce0b0
hex2feeaf4c4

12866745540 has 144 divisors (see below), whose sum is σ = 39825051840. Its totient is φ = 3101472000.

The previous prime is 12866745503. The next prime is 12866745611. The reversal of 12866745540 is 4554766821.

It is a super-2 number, since 2×128667455402 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12866745540.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294590 + ... + 1304490.

It is an arithmetic number, because the mean of its divisors is an integer number (276562860).

Almost surely, 212866745540 is an apocalyptic number.

12866745540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12866745540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19912525920).

12866745540 is an abundant number, since it is smaller than the sum of its proper divisors (26958306300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12866745540 is a wasteful number, since it uses less digits than its factorization.

12866745540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10114 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 12866745540 in words is "twelve billion, eight hundred sixty-six million, seven hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 179 220 242 330 358 363 484 537 605 660 716 726 895 1074 1210 1452 1790 1815 1969 2148 2420 2685 3580 3630 3938 5370 5907 7260 7876 9845 9901 10740 11814 19690 19802 21659 23628 29535 29703 39380 39604 43318 49505 59070 59406 64977 86636 99010 108295 108911 118140 118812 129954 148515 198020 216590 217822 259908 297030 324885 326733 433180 435644 544555 594060 649770 653466 1089110 1198021 1299540 1306932 1633665 1772279 2178220 2396042 3267330 3544558 3594063 4792084 5316837 5990105 6534660 7089116 7188126 8861395 10633674 11980210 14376252 17722790 17970315 19495069 21267348 23960420 26584185 35445580 35940630 38990138 53168370 58485207 71881260 77980276 97475345 106336740 116970414 194950690 214445759 233940828 292426035 389901380 428891518 584852070 643337277 857783036 1072228795 1169704140 1286674554 2144457590 2573349108 3216686385 4288915180 6433372770 12866745540